# Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 37699: can someone please the factor the differences of two squares 2 question, thanks b^2-144 x^-81 Click here to see answer by checkley71(8403)

 Question 37774: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. a) Write h as a function of r. Answer: b) Show work in this space. c) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Answer: Show work in this space. d) Graph this function. Show graph here. Click here to see answer by stanbon(57967)

 Question 37725: Simplify (b^c + 7bc - 3)- (12b^c - 2bc + 5) Click here to see answer by junior403(76)

 Question 37789: Find the quadratic equation that has the solutions x=4 and x=-8. Write in the form ____X(squared)+____X+_____=0 Click here to see answer by Earlsdon(6294)

 Question 37848: Divide the following fractions: 6p-18/9p divided by 3p-9/p^2+2p Thank you Click here to see answer by fractalier(2101)

 Question 37845: The volume of the box is represented by (x2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. Click here to see answer by fractalier(2101)

 Question 37796: What is 8 over 2 plus 3x times 8 plus 12x over 1?? Click here to see answer by fractalier(2101)

 Question 37864: One person can do a job in 8 hours. A second person can do it in 12 hours. if the first person works 2 hours less than the second, how many hours will it take them working together? write an algerair solution. let x= length of time first person works and x+2= length of time second works Click here to see answer by fractalier(2101)

 Question 37850: Add or subtract as indicated. Express your results in simplest form 2/5w+10 - 3/2w-4 I cannot figure out how to get a common denominator Click here to see answer by Kathy(4)

 Question 37868: (1/x) - [1/(x+4)]=1/3 i know i need to multiply by 3x(x+4) but i dont know what to do after that Click here to see answer by fractalier(2101)

 Question 37844: Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 That would be Four r squared minus twenty-five s squared over 2 r squared plus 3 rs minus 20 s squared... COuld you please show the work so that I may complete the remaining problems by myself...Thank you Click here to see answer by fractalier(2101)

 Question 37843: use tiles or the distributive property to find the each product (x+1)(x+3) and (5x+2)(2x-1) Click here to see answer by benni1013(197)

 Question 37919: 1. what is 9s squared - 6x - 1? im on perfect squares and factoring. in the glencoe math book for algebra 1. section 9-6 Click here to see answer by Earlsdon(6294)

 Question 37939: Can you please check my work? Did I do this correctly? x+6/x+1 - 4/2x+3 x+6/x+1 x 2x+3/2x+3 - 4/2x+3 x x+1/x+1 (x+6)(2x+3)/(x+1)(2x+3) - 4(x+1)/(2x+3)(x+1) (x+6)(2x+3)-4(x+1)/(x+1)(2x+3) 2x^2+15x+18/(x+1)(2x+3) <- (thats my answer) Click here to see answer by checkley71(8403)

 Question 37924: factor the following sums or differences of two cubes b^3-8 Click here to see answer by Earlsdon(6294)

 Question 37925: factor the following sums or differences of two cubes x^3+8 Click here to see answer by fractalier(2101)

 Question 38023: the polynomial function f(x)=x^3+x^2-5x-6 has a zero at x=-2.that implies that x+2 must be a factor of the polynomial. find the other factors by either polynomial long division, or synthetic division...i really dont mind which process you choose, i just need help grasping these concepts. id say im more familiar with polynomial long division. this is part of a take home extra credit assignment i was given, so i dont have any book info, thank you so much! Click here to see answer by stanbon(57967)

 Question 38028: Describe the relationship between a binomial and a polynomial. Click here to see answer by stanbon(57967)

 Question 38046: Find the indicated quotients. Express final results using positive integral exponents only. (24x^-4)(y^-9)/(8x^-7)(y^-1) Click here to see answer by fractalier(2101)

 Question 38041: Hello (40-something-old, returning to school -- very rusty, and a little embarrassed!) My problem: Factor 3x^6-192. Here's my approach.... Step 1: Factor out 3: 3(x^6-64) Step 2: Factor the "difference between two squares": 3(x^6-64) = 3(x^3-8)(x^3+8) Correct? However, here's where I got stuck, so I decided to look at the answer key, and found this as the next step: 3(x^3-8)(x^3-8)(x^3+8) Um, where did the "extra" (x^3-8) come from? Did I miss something really obvious here?...probably! I can't seem to think beyond this step, either. If you could remind me of the rule(s) involved, too, that's very helpful. Thanks for your help! Signed, "Never-too-old to learn...I think" Click here to see answer by fractalier(2101)
 Question 38041: Hello (40-something-old, returning to school -- very rusty, and a little embarrassed!) My problem: Factor 3x^6-192. Here's my approach.... Step 1: Factor out 3: 3(x^6-64) Step 2: Factor the "difference between two squares": 3(x^6-64) = 3(x^3-8)(x^3+8) Correct? However, here's where I got stuck, so I decided to look at the answer key, and found this as the next step: 3(x^3-8)(x^3-8)(x^3+8) Um, where did the "extra" (x^3-8) come from? Did I miss something really obvious here?...probably! I can't seem to think beyond this step, either. If you could remind me of the rule(s) involved, too, that's very helpful. Thanks for your help! Signed, "Never-too-old to learn...I think" Click here to see answer by askmemath(368)

 Question 38065: Solve and check for x. Please help - I don't understand! x/x-2 - x+1/x = 8/x^2-2x I had a hard time typing this in. It is x over x-2 minus x+1 over x equals 8 over x squared minus 2x. I hope that helps! Click here to see answer by fractalier(2101)

 Question 37927: factor the following expressions using the method of common factors 8x^2+2xb x^3y^2+xy Click here to see answer by fractalier(2101)

 Question 38119: I have a problem that is hard to write but here it goes. Write the following expression as the product of a monomial and a polynomial 9x cubed - 6x^ - 15x I don't know how to type the third power after the x Click here to see answer by ilana(307)